Highest Common Factor of 1691, 2199 using Euclid's algorithm
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 1691, 2199 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1691, 2199 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 1691, 2199 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 1691, 2199 is 1.
HCF(1691, 2199) = 1
HCF of 1691, 2199 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1691, 2199 is 1.
Highest Common Factor of 1691,2199 is 1
Step 1: Since 2199 > 1691, we apply the division lemma to 2199 and 1691, to get
2199 = 1691 x 1 + 508
Step 2: Since the reminder 1691 ≠ 0, we apply division lemma to 508 and 1691, to get
1691 = 508 x 3 + 167
Step 3: We consider the new divisor 508 and the new remainder 167, and apply the division lemma to get
508 = 167 x 3 + 7
We consider the new divisor 167 and the new remainder 7,and apply the division lemma to get
167 = 7 x 23 + 6
We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get
7 = 6 x 1 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1691 and 2199 is 1
Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(167,7) = HCF(508,167) = HCF(1691,508) = HCF(2199,1691) .
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Frequently Asked Questions on HCF of 1691, 2199 using Euclid's Algorithm
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 1691, 2199?
Answer: HCF of 1691, 2199 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1691, 2199 using Euclid's Algorithm?
Answer: For arbitrary numbers 1691, 2199 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.